- Blog on the history of Fermat's Last Theorem and Wiles' Proof - Larry Freeman
The purpose of this blog is survey the developments of number theory in relation to Fermat's Last Theorem. I try to focus on the people, ideas, and mathematical details. It is meant to be interesting, accessible, and accurate in its mathematical details.
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- BLOSSOMS - Massachusetts Institute of Technology Learning International Networks Consortium (MIT LINC)
Video modules that enliven existing curricula with clips and support materials for in-class teachers to intersperse in active, goal-oriented exercises. Each module includes a teacher's guide, downloadable hand-outs, and a list of additional resources;
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- Blue Sky Research (TeX, LaTeX, AMS-TeX)
An online catalog with TeX, LaTeX, and AMS-TeX manuals available by mail order. Also Textures, its requirements, and interfaces. Fonts, news, price list and ordering information, technical support. The FTP server has materials for TeXperts and novices,
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- Blue Web'n Learning Sites Library
Learning Applications: a library of Internet-based instruction. Search for applications by grade level, application type, content area, Dewey number, and/or keyword. A Content Table shows the number of entries for each content area and application type
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- BNALib, A Visual Basic Numerical Analysis Library for Personal Computers
- C. David Eagle, Jr.
The BNALib software package, provided in source code form, is a toolbox of subroutines, functions, and demonstration programs that provide numerical analysis computing capability for Visual Basic programmers. Each numerical method is a digital computer
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- Boaz Tsaban's Homepage
Includes three PostScript papers: Was Godel right? Was Pi known to ancient Rabbis? and On the Rabbinical Approximation of Pi. Also a links to a Jewish Mathematics page.
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- Bob's Pages - Bob Allanson
A collection of geometry applets. Generate and modify polyhedra, investigate the Mandelbrot and Julia sets, or experiment with Pappus's arbelos, the porisms of Poncelet and Steiner, and a logarithmic spiral.
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- Boil, Boil, Toil and Trouble: The International Boiling Point Project - Center for Improved Engineering and Science Education (CIESE)
People from all over the world boil water at different elevations and post data to discover which factor in the experiment (room temperature, elevation, volume of water, or heating device) has the greatest influence on boiling point. Anyone can boil water,
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- The Boise Problem Book - Marion Scheepers; Dept. of Mathematics, Boise State University, Boise, ID
Combinatorial games and set theory. Chapters include: Covering games and Memory; Peculiar sets of real numbers and games; Gdelta properties and games; The precipitous ideal game; Cardinal numbers related to the real line; Embedding problems; Gaps; The
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- Book of Odds - Book of Odds, Inc.
A dictionary "filled not with words, but with numbers -– the odds of everyday life." The Book of Odds "contains hundreds of thousands of Odds Statements, from the odds of being the only one to survive a plane crash, to the odds of having a heart attack,
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- Books and other nonweb resources (History of Mathematics) - David Joyce; Dept. of Mathematics & Computer Science, Clark University
Organizations devoted to the history of Mathematics; a Bibliography of source books; Journals; Bibliographies and catalogues; and Texts on the history of mathematics.
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- Books by Lillian Lieber - Lillian Lieber, Hugh Gray Lieber, Paul Dry Books
Paul Dry Books has republished three of Lillian Lieber's books on mathematics: The Education of T.C. MITS: What Modern Mathematics Means to You, Infinity: Beyond the Beyond the Beyond, and Einstein's Theory of Relativity. Lillian Lieber was the head of
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- Books: Professional & Technical: Education - Amazon.com
Browse bestselling books about education from the Professional and Technical Bookstore at Amazon.com, in categories such as General; Biographies of Educators; Counseling; Education Theory; Lesson Planning; Preschool & Kindergarten; Reference; Special
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- Books: Professional & Technical: Professional Science: Mathematics - Amazon.com
Browse bestselling math books from the Professional and Technical Bookstore at Amazon.com, in such categories as Applied; Chaos & Systems; Geometry & Topology; Mathematical Analysis; Mathematical Physics; Number Systems; Pure Mathematics; Transformations;
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- Boost Your Skills With ATI Courses! - Applied Technology Institute (ATI)
A center for technical training in the form of short courses and distance learning
in space, communications, defense, sonar, radar, and signal processing.
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- Border Pattern Gallery - John Wolfe; Geometric Structures Class, Oklahoma State University
A gallery developed as a class project: creating and classifying border patterns (also called frieze or band patterns) provides an engaging introduction to symmetry for students of all ages. Examples and explanations for seven different border types.
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- Bottles in a Wine Rack - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Arranging wine bottles in a rack leads, under certain circumstances, to a curious mathematical problem discussed in books by S. Wagon and R. Honsberger. The site arouse out of an attempt to illustrate their solution. The dynamic illustration quickly
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- Bounded Set Theory - Vladimir Sazonov
Bounded Set Theory (BST) is a weak version of the ordinary set theory. Its main feature is paying main attention to using bounded quantification (as in the ordinary everyday mathematical practice) and other analogous bounded constructs. The language of
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- Boxplots in Excel - Neville Hunt, Coventry University
A method for using Microsoft Excel to create boxplots, or box and whisker diagrams, which provide a simple graphical summary of a set of data. Boxplots show a measures of central location (the median), two measures of dispersion (the range and inter-quartile
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- The Brachistochrone - Paul Kunkel
An investigation of the problem: We are given two fixed points in a vertical plane. A particle starts from rest at one of the points and travels to the other under its own weight. Find the path that the particle must follow in order to reach its destination
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- The brachistochrone problem
- MacTutor Math History Archives
Linked essay on the brachistochrone problem, posed by Johann Bernoulli in Acta Eruditorum in June, 1696. With references and other related web sites.
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- Brahmagupta's Formula - Jim Wilson, Dept. of Mathematics Education, Univ. of Georgia
Problem: Develop a proof for Brahmagupta's Formula, which provides the area A of a cyclic quadrilateral (i.e., a simple quadrilateral inscribed in a circle) with sides of length a, b, c, and d as A = sqrt((s-a)(s-b)(s-c)(s-d)) where s is the semiperimeter
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- BrainBashers - Kevin N. Stone
A collection of logic, language and math puzzles, in a choice of easy/medium/hard. Rate the puzzles; show their answers. Logic puzzles include Einstein's Puzzle. Play games of strategy, such as "Four in a Row" (also known as "Connect Four") or games based
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- Brainfreeze Puzzles - Riley, Philip; and Taalman, Laura
Free example puzzles and solving tips for colorful, hand-designed Sudoku variation puzzles with additional rules that challenge you to rethink your old Sudoku strategies and devise new ones. From the authors of the book, Color Sudoku.
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- Brainy Figuring - Ivars Peterson (MathTrek)
In the May 7 Science, Dehaene and collaborators at the Massachusetts Institute of Technology present the first hard evidence that two quite different modes of brain activity underlie our inborn capacity for mathematics. Their study indicates that learning
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- Bray Proves Penrose Conjecture in General Relativity (Math Chat) - Frank Morgan, MAA Online
In 1979 R. Schoen and S.-T. Yau proved that the total mass of a universe must be positive. Last year [1998] G. Huisken and T. Ilmanen proved that the total mass is at least as large as the largest constituent mass: M >_ m1. Finally this year [1999] H.
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- Breaking Chocolate Bars - Cut the Knot!, Alexander Bogomolny
The chocolate bar puzzle has three parameters: two side lengths (m and n) and actual selection of lines along which to break the bar and its parts... An interactive column for MAA Online that uses a Java applet to simulate a puzzle or mathematical problem,
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- Brendan McKay
Software includes nauty, a program for computing automorphism groups of graphs and digraphs, which can also produce a canonical labelling; and plantri, a program for generating planar triangulations. Also, skeptical treatment of claims made of miraculous
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- Brendt Wohlberg - University of Cape Town, South Africa
Fractal image compression resources: bibliography, publications.
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- Bret Victor
From the creator of Kill Math, Victor's "umbrella project for techniques that enable people to model and solve meaningful problems of quantity using concrete representations and intuition-guided exploration" in pursuit of a "widely-usable, insight-generating
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- The Bridges of Königsberg - Isaac Reed
This problem inspired the great Swiss mathematician Leonard Euler to create graph theory, which led to the development of topology.
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- The Bridges Organization: art and mathematics - George W. Hart, Webmaster
The Bridges Organization oversees an annual conference on connections between art and mathematics. The site's virtual museum shows sculpture, paintings, drawings, digital prints, textiles, origami and other paper-foldings created by mathematicians and
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- Brief Course Materials for Various Courses - E. Lee Lady; University of Hawaii
A collection of short handouts: files are in PDF and DVI formats. Contents include: The Fundamental Theorem of Arithmetic, the division algorithm, solutions of linear congruences, solving the Chinese Remainder problem, an example of a continued fraction,
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- A Brief History of Algebra and Computing: An Eclectic Oxonian View - Jonathan P. Bowen; Oxford University Computing Laboratory, UK
Math history: Chapters on: The Origins of Algebra; Early English Algebra; Algebra and Analytical Engines; Boolean Algebra; Algebra and Computing; Recent Developments in the Algebra of Programs. References. Also available at http://www.museums.reading.ac.uk/vmoc/algebra/.
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- A Brief History of Cosmology - MacTutor Math History Archives
A hypertext essay describing the course of cosmology from its beginnings in early Babylonian society through the present, with References.
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- A Brief History of Mechanical Calculators - James Redin
An essay on the historical evolution of calculating machines, from the abacus to Babbage's differential machine to today's computers. Contents include: the abacus; the Antikythera calculator; Napier's Bones; Leonardo da Vinci's design; Schickard’s machine;
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- A Brief History of Statistics - Richard Walker
Notes adapted from the article, The Development of Modern Statistics, by Dale Varberg which appears in Swetz, Frank (editor), From Five Fingers to Infinity: A Journey Through the History of Mathematics, Open Court, 1994.
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- Brightest Moon for Thousands of Millennia? (Math Chat) - Frank Morgan, MAA Online
Answer to the challenge: Was there any validity to the claim that the full moon of December 22, 1999 was the brightest that we shall see for millions of years? (Factors that coincided.) New challenge: Eric Brahinsky saw in an article on "New molecule
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- Bright Ideas Software
Bright Ideas Software was formed in 2001 with the goal of producing high quality educational software for the college and university market, with particular focus on graphical visualization tools for the physical sciences. We are located in Southeast
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- British Combinatorial Committee - Peter Cameron, Chair
A body that works for the support of combinatorial and discrete mathematics in the United Kingdom. Conferences in 2000 and 2001; Bulletin and information; News Items; links to related sites.
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- The British Society for the History of Mathematics (BSHM)
The British Society for the History of Mathematics promotes research into the history of mathematics and its use at all levels of mathematics education through meetings, a newsletter, and by other means. The BSHM takes in all periods and civilisations,
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- British Weights and Measures Association - Mr. Vivian Linacre, Edinburgh, UK
Views and aims; press releases; the association's publications and some articles from them; a list of patrons and officers; subscription details; an invitation to help; and contact information. "The British Weights and Measures Association opposes wanton
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- A Broken Calculator - Cut the Knot!, Alexander Bogomolny, with Don Greenwell
Thoughts on the controversial question of using calculators in the classroom, and the author's belief that even a broken calculator may have its uses: the elementary mathematics curriculum may emphasize any or all of the paper-and-pencil, mental, or technology-based
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- Brownian Motion - Charlie Geyer
An applet that draws one-dimensional Brownian motion, with source code and a link to statistical Java applets by others.
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- BR Solutions
An Icelandic company providing modeling and optimization software to businesses. Most products are specifically aimed at fisheries. Site is also available in Icelandic and Norwegian.
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- BUBL Link: Libraries of Networked Knowledge
A searchable national information service for the UK higher education community. Directory of UK organisations and institutions; Archive of LIS, journals, Internet development; abstracts, full text, hundreds of titles of journals; news: jobs, events,
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- Buffon's Needle - Michael J. Hurben
A Java applet that simulates a Monte Carlo method for the estimation of the value of pi, 3.14159265... The user controls the speed of simulating the dropping of up to 100,000 needles or pins on equally spaced parallel lines, while a bar graph displays
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- Buffon's Needle - Paul Kunkel
An investigation of the problem: Consider a plane, ruled with equidistant parallel lines, where the distance between the lines is D. A needle of length L is tossed onto the plane. What is the probability that the needle intersects one or more lines?
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- Buffon's Needling Ants - Ivars Peterson (MathTrek)
The idea of estimating pi by randomly casting a needle onto an infinite plane ruled with parallel lines was first proposed by the naturalist and mathematician Georges Louis Leclerc Comte de Buffon (1707-1788). In recent years, computer
simulations have
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- Building Models of Surfaces - Joan Hoffman, Swarthmore College
Physical models to be used as aids in understanding 3-dimensional surfaces - some how-to pages for building surfaces that appear in multi-variable calculus, by Swarthmore College student Joan Hoffmann.
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